Given numbers are 207,575,920,116,324

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 207,575,920,116,324 is 10805400.

Find LCM of 207,575,920,116,324 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 3 x 3 x 5 x 23 x 1 x 5 x 2 x 29 x 9 = 10805400

Therefore, the lowest common multiple of 207,575,920,116,324 is 10805400.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

207 x 575 x 920 x 116 x 324 = 4115560752000

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

207 : 1, 3, 9, 23, 69, 207

575 : 1, 5, 23, 25, 115, 575

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

116 : 1, 2, 4, 29, 58, 116

324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 207,575,920,116,324, is 1.

Now, the common factors can be found like this.

207:3x 3x 23

575:5x 5x 23

920:2x 2x 2x 5x 23

116:2x 2x 29

324:2x 2x 3x 3x 3x 3

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 2x 3x 3x 5x 23x 23 = 380880

Therefore, the value for common factors is 380880.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 4115560752000/(1x380880)

LCM = 4115560752000/380880

LCM = 10805400

Thus, we can understand that the LCM of 207,575,920,116,324 is 10805400.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 797, 622, 150, 129, 632
• LCM of 619, 849, 745, 142, 398
• LCM of 333, 857, 258, 660, 776
• LCM of 285, 969, 999, 284, 313
• LCM of 806, 248, 832, 782, 197

1. What is the LCM of 207, 575, 920, 116, 324?

Answer: LCM of 207, 575, 920, 116, 324 is 10805400.

2. How to calculate the LCM of 207, 575, 920, 116, 324?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 207, 575, 920, 116, 324.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.